536 citations · 1.9k across the 34 of their papers we have counts for
34 papers
Superselection Rules, Quantum Error Correction, and Quantum Chromodynamics
Ning Bao, ChunJun Cao, Aidan Chatwin-Davies +2
We investigate the relationship between superselection rules and quantum error correcting codes. We demonstrate that the existence of a superselection rule implies the Knill-Laflam…
Phase diagram of the three-dimensional subsystem toric code
Yaodong Li, C. W. von Keyserlingk, Guanyu Zhu +1
Subsystem quantum error-correcting codes typically involve measuring a sequence of non-commuting parity check operators. They can sometimes exhibit greater fault-tolerance than con…
Entanglement Renormalization Circuits for Chiral Topological Order
Su-Kuan Chu, Guanyu Zhu, Alexey V. Gorshkov
Entanglement renormalization circuits are quantum circuits that can be used to prepare large-scale entangled states. For years, it has remained a mystery whether there exist scale-…
Quantum complexity of the Kronecker coefficients
Sergey Bravyi, Anirban Chowdhury, David Gosset +2
Whether or not the Kronecker coefficients of the symmetric group count some set of combinatorial objects is a longstanding open question. In this work we show that a given Kronecke…
Fault-tolerant error correction for a universal non-Abelian topological quantum computer at finite temperature
Alexis Schotte, Lander Burgelman, Guanyu Zhu
We study fault-tolerant error correction in a quantum memory constructed as a two-dimensional model of Fibonacci anyons on a torus, in the presence of thermal noise represented by…
Quantum Locally Testable Code with Constant Soundness
Andrew Cross, Zhiyang He, Anand Natarajan +2
In this paper, we present two constructions of quantum locally testable codes (QLTC) with constant soundness. In the first approach, we introduce an operation called check product,…
Codimension-2 defects and higher symmetries in (3+1)D topological phases
Maissam Barkeshli, Yu-An Chen, Sheng-Jie Huang +3
(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are s…
Deconfinement and Error Thresholds in Holography
Ning Bao, ChunJun Cao, Guanyu Zhu
We study the error threshold properties of holographic quantum error-correcting codes. We demonstrate that holographic CFTs admit an algebraic threshold, which is related to the co…
Quantum error correction with fractal topological codes
Arpit Dua, Tomas Jochym-O'Connor, Guanyu Zhu
Recently, a class of fractal surface codes (FSCs), has been constructed on fractal lattices with Hausdorff dimension , which admits a fault-tolerant non-Clifford CCZ gate. We…
Topological Order, Quantum Codes and Quantum Computation on Fractal Geometries
Guanyu Zhu, Tomas Jochym-O'Connor, Arpit Dua
We investigate topological order on fractal geometries embedded in dimensions. In particular, we diagnose the existence of the topological order through the lens of quantum inf…
Quantum error correction thresholds for the universal Fibonacci Turaev-Viro code
Alexis Schotte, Guanyu Zhu, Lander Burgelman +1
We consider a two-dimensional quantum memory of qubits on a torus which encode the extended Fibonaccistring-net code, and devise strategies for error correction when those qubits a…
Many-body Chern number from statistical correlations of randomized measurements
Ze-Pei Cian, Hossein Dehghani, Andreas Elben +5
One of the main topological invariants that characterizes several topologically-ordered phases is the many-body Chern number (MBCN). Paradigmatic examples include several fractiona…
Triangular color codes on trivalent graphs with flag qubits
Christopher Chamberland, Aleksander Kubica, Theodore J. Yoder +1
The color code is a topological quantum error-correcting code supporting a variety of valuable fault-tolerant logical gates. Its two-dimensional version, the triangular color code,…
Quasi-exact quantum computation
Dong-Sheng Wang, Guanyu Zhu, Cihan Okay +1
We study quasi-exact quantum error correcting codes and quantum computation with them. A quasi-exact code is an approximate code such that it contains a finite number of scaling pa…
Topological and subsystem codes on low-degree graphs with flag qubits
Christopher Chamberland, Guanyu Zhu, Theodore J. Yoder +2
In this work we introduce two code families, which we call the heavy hexagon code and heavy square code. Both code families are implemented by assigning physical data and ancilla q…
Many-body topological invariants from randomized measurements
Andreas Elben, Jinlong Yu, Guanyu Zhu +4
The classification of symmetry-protected topological (SPT) phases in one dimension has been recently achieved, and had a fundamental impact in our understanding of quantum phases i…
Photon pair condensation by engineered dissipation
Ze-Pei Cian, Guanyu Zhu, Su-Kuan Chu +4
Dissipation can usually induce detrimental decoherence in a quantum system. However, engineered dissipation can be used to prepare and stabilize coherent quantum many-body states.…
Photonic quadrupole topological phases
Sunil Mittal, Venkata Vikram Orre, Guanyu Zhu +3
The topological phases of matter are characterized using the Berry phase, a geometrical phase, associated with the energy-momentum band structure. The quantization of the Berry pha…
Universal logical gates with constant overhead: instantaneous Dehn twists for hyperbolic quantum codes
Ali Lavasani, Guanyu Zhu, Maissam Barkeshli
A basic question in the theory of fault-tolerant quantum computation is to understand the fundamental resource costs for performing a universal logical set of gates on encoded qubi…
Optical control over bulk excitations in fractional quantum Hall systems
Tobias Graß, Michael Gullans, Przemyslaw Bienias +4
Local excitations in fractional quantum Hall systems are amongst the most intriguing objects in condensed matter, as they behave like particles of fractional charge and fractional…
Scale-Invariant Continuous Entanglement Renormalization of a Chern Insulator
Su-Kuan Chu, Guanyu Zhu, James R. Garrison +5
The multi-scale entanglement renormalization ansatz (MERA) postulates the existence of quantum circuits that renormalize entanglement in real space at different length scales. Cher…
Instantaneous braids and Dehn twists in topologically ordered states
Guanyu Zhu, Ali Lavasani, Maissam Barkeshli
A defining feature of topologically ordered states of matter is the existence of locally indistinguishable states on spaces with non-trivial topology. These degenerate states form…
Universal Logical Gates on Topologically Encoded Qubits via Constant-Depth Unitary Circuits
Guanyu Zhu, Ali Lavasani, Maissam Barkeshli
A fundamental question in the theory of quantum computation is to understand the ultimate space-time resource costs for performing a universal set of logical quantum gates to arbit…
Quantum Information Scrambling Through a High-Complexity Operator Mapping
Xiaopeng Li, Guanyu Zhu, Muxin Han +1
Quantum information scrambling has attracted much attention amid the effort to reconcile the conflict between quantum-mechanical unitarity and the thermalizaiton-irreversibility in…